Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/72,414/59,385/333
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 382,414,385
Greatest Common Factor of Numerators i.e. GCF of 382,414,385 is 1 .
LCM of Denominators means LCM of 72,59,333 as per the given fractions.
LCM of 72,59,333 is 157176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,414,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 382,414,385 . The biggest common factor number is the GCF number.
So the greatest common factor 382,414,385 is 1.
Lets's calculate LCM of 72,59,333
3 | 72, 59, 333 |
3 | 24, 59, 111 |
8, 59, 37 |
∴ So the LCM of the given numbers is 3 x 3 x 8 x 59 x 37 = 157176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157176
Therefore, the GCF of Fractions 382/72,414/59,385/333 is 1/157176
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 72,59,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,59,333) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(72,59,333) x common factors =1 x 9 = 9
LCM(72,59,333) = ( 72 × 59 × 333 ) / 9
LCM(72,59,333) = 1414584 / 9
LCM(72,59,333) = 157176
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 382/72, 414/59, 385/333?
Answer: GCF of Numerators as per given numbers 382/72, 414/59, 385/333 is
GCF of Numerators i.e. for 382,414,385 is 1
LCM of denominators i.e. for 72,59,333 is 157176.
Thus, GCF of Fractions is 1/157176.Finally, GCF of Fractions for 382/72, 414/59, 385/333 is 1/157176.